ON THE EXISTENCE OF PARTITIONS OF UNITY FOR PROXIMITY SPACES

Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 88

Abstract

In the present paper it has been shown that if (X, δ) is a separated proximity space with a finite open covering u, then there exists a partition of unity dominated by u.

Keywords and Phrases

Proximity spacs, finite covering, partition of unity, Urysohn lemma, shrinking lemma.

A.M.S. subject classification

54A05, 54E05.

.....

Download PDF 88 Click here to Subscribe now